Discrete network dynamics series of papers

I am now back after a quiet period during which I was writing my first paper in a forthcoming series of papers on "discrete network dynamics". This first paper is entitled "Discrete Network Dynamics. Part 1: Operator Theory", and I have just uploaded it to arXiv where it is available at cs.NE/0511027. I will be commenting in detail on this paper in due course.

The "discrete network dynamics" series of papers will be about the use of operator techniques borrowed from quantum field theory to implement Markov chain Monte Carlo algorithms, and the emphasis will be on the adaptive cluster expansion network (ACEnet) which is a particular type of self-organising network.